Consider the two functions shown below.
f(x)=2x-7
g(x)=1/2x+7/2
A. The functions f(x) and g(x) are not inverses because f(g(x))=g(f(x))=x
B. The functions f(x) and g(x) are inverses because f(g(x))=g(f(x))=x
C. The functions f(x) and g(x) are inverses because f(g(x))≠g(f(x))
D. The functions f(x) and g(x) are not inverses because f(g(x))≠g(f(x))

Question

Consider the two functions shown below.
f(x)=2x-7
g(x)=1/2x+7/2
A. The functions f(x) and g(x) are not inverses because f(g(x))=g(f(x))=x
B. The functions f(x) and g(x) are inverses because f(g(x))=g(f(x))=x
C. The functions f(x) and g(x) are inverses because f(g(x))≠g(f(x))
D. The functions f(x) and g(x) are not inverses because f(g(x))≠g(f(x))

anonymous · Answer

I know I can eliminate choices A and C.

primeralph · Answer

well, what do you think?

primeralph · Answer

make an attempt first.......

anonymous · Answer

I worked out the inverse of f(x). It's f^-1(x)=(x+7)/2

primeralph · Answer

so, which option is most likely?

anonymous · Answer

I'm pretty sure it's D.

primeralph · Answer

........hey, what you got for the inverse of f is the same as g...............

anonymous · Answer

Yeah, that helps I forgot to do that. I know the answer now. Thank you

primeralph · Answer

medal............?

primeralph · Answer

anytime though, you can tag me.

anonymous · Answer

The answer should be A

primeralph · Answer

Nope.

anonymous · Answer

my bad its B i misread the options

primeralph · Answer

can I get a medal for correcting you?